Shortest Names 

In a strange village, people have very long names. For example: aaaaa, bbb and abababab.

You see, it's very inconvenient to call a person, so people invented a good way: just call a prefix of the names. For example, if you want to call `aaaaa', you can call `aaa', because no other names start with `aaa'. However, you can't call `a', because two people's names start with `a'. The people in the village are smart enough to always call the shortest possible prefix. It is guaranteed that no name is a prefix of another name (as a result, no two names can be equal).

If someone in the village wants to call every person (including himself/herself) in the village exactly once, how many characters will he/she use?

Input 

The first line contains T (T$ \le$10), the number of test cases. Each test case begins with a line of one integer n ( 1$ \le$n$ \le$1000), the number of people in the village. Each of the following n lines contains a string consisting of lowercase letters, representing the name of a person. The sum of lengths of all the names in a test case does not exceed 1,000,000.

Output 

For each test case, print the total number of characters needed.

Sample Input 

1
3
aaaaa
bbb
abababab

Sample Output 

5



Problemsetter: Rujia Liu, Special Thanks: Yiming Li, Feng Chen, Jane Alam Jan